Positive solutions to three classes of non-local fourth-order problems with derivative-dependent nonlinearities
In the article, we investigate three classes of fourth-order boundary value problems with dependence on all derivatives in nonlinearities under the boundary conditions involving Stieltjes integrals. A Gronwall-type inequality is employed to get an a priori bound on the third-order derivative term, a...
Elmentve itt :
| Szerző: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.11 |
| Online Access: | http://acta.bibl.u-szeged.hu/75826 |
| LEADER | 01404nas a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta75826 | ||
| 005 | 20220523154940.0 | ||
| 008 | 220523s2022 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2022.1.11 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Zhang Guowei | |
| 245 | 1 | 0 | |a Positive solutions to three classes of non-local fourth-order problems with derivative-dependent nonlinearities |h [elektronikus dokumentum] / |c Zhang Guowei |
| 260 | |c 2022 | ||
| 300 | |a 27 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In the article, we investigate three classes of fourth-order boundary value problems with dependence on all derivatives in nonlinearities under the boundary conditions involving Stieltjes integrals. A Gronwall-type inequality is employed to get an a priori bound on the third-order derivative term, and the theory of fixed-point index is used on suitable open sets to obtain the existence of positive solutions. The nonlinearities have quadratic growth in the third-order derivative term. Previous results in the literature are not applicable in our case, as shown by our examples. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Differenciálegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/75826/1/ejqtde_2022_011.pdf |z Dokumentum-elérés |